211111111112 has 16 divisors (see below), whose sum is σ = 431818182000. Its totient is φ = 95959595920.

The previous prime is 211111111091. The next prime is 211111111157.

211111111112 is nontrivially palindromic in base 10.

211111111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1199494862 + ... + 1199495037.

It is an arithmetic number, because the mean of its divisors is an integer number (26988636375).

Almost surely, 2^211111111112 is an apocalyptic number.

211111111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211111111112 is an abundant number, since it is smaller than the sum of its proper divisors (220707070888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211111111112 is a wasteful number, since it uses less digits than its factorization.

211111111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398989916 (or 2398989912 counting only the distinct ones).

The product of its digits is 4, while the sum is 14.

It can be divided in two parts, 211111 and 111112, that multiplied together give a palindrome (23456965432).

The spelling of 211111111112 in words is "two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".